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Finding the Third Proportional to 127,285.50 and 251,358

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Solution

The third proportional to 127,285.50 and 251,358 is: 496,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,285.50 : 251,358 = 251,358 : x
  2. Step 2: Convert to fraction form
    127,285.50/251,358 = 251,358/x
  3. Step 3: Cross multiply
    127,285.50x = 251,358 × 251,358
  4. Step 4: Simplify right side
    127,285.50x = 63,180,844,164
  5. Step 5: Solve for x
    x = 63,180,844,164/127,285.50
  6. Step 6: Final answer
    x = 496,371.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.